Over the time I have have spent here, I have observed that some of the tags that are misused most usually end with analysis
(and of course mathematical-statistics).
One can be pensive about the possible reasons, but the general causes of a blatant misuse are these:
$\bullet$ Trail of ambiguity: When someone is asking any question that involves some analysis (not zeroing in on what it could be) or is altogether asking about the veracity of an analysis or so forth, they would type the word analysis
in the tag field and whatever they feel has the proximity to their interest, click on the one without bothering much. As of the tag in concern, I checked some of the questions where OP used the tag and the abject misuse was predominant. But what this showed is that OP intended to use that tag for indicating there is a sequence that needs to be analysed (in time series, rate of convergence of series, their order, etcetera). For example, see this post which basically is asking about the order of convergence. When OP was searching for a tag like sequence, the first thing that appeared was sequence-analysis.
$\bullet$ Insouciance: Let's face it. The cohort of users checking a tag wiki before using it is small. There can be scant to no information in the tag wiki. But, imo, the current tag in discussion has enough info stated for any user to get acquainted with what it entails and when it should be used. It explicitly states the field of study it is relevant and the misuse clearly implies that OP never read the tag wiki at the first place.
So what is the possible way to avert this? I would advocate for changing the nomenclature rather than modifying the tag wiki. One can vouch for the latter, and I have no qualms on that but changing that while retaining the old name that perpetuated the practice would be futile.
I can't see any necessity for creation of any broad tags like sequence or analysis. Proper naming that clearly articulates what it means and has no scope of vagueness (like in this case, as suggested by Stephan Kolassa in Ten Fold, genetic-sequence-analysis or omics suggested by gung - Reinstate Monica in a comment) should be adopted.